h-net: hqc1172


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{8,12,4}
2D vertex symbol {3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.3}
Vertex coordination sequence [(8, 40, 116, 464, 1448, 5464, 17780, 64896), (12, 32, 148, 432, 1708, 5360, 20148, 65760), (4, 24, 76, 284, 960, 3384, 11588, 40668, 139928)]
Delaney-Dress Symbol <1172.2:9:1 3 5 7 9,2 3 6 9 8,1 4 5 6 7 8 9:3 3,8 12 4>
Dual net hqc1011

Derived s-nets

s-nets with faithful topology

6 records listed.
Image s-net name Other names Space group Space group number Symmetry class Vertex degree(s) Vertices per primitive unit cell Transitivity (Vertex, Edge)
Full image sqc8602 I4/mmm 139 tetragonal {4,8,12} 10 (3,4)
Full image sqc8844 I4/mmm 139 tetragonal {4,12,8} 10 (3,4)
Full image sqc12636 I41/acd 142 tetragonal {8,12,4} 20 (3,5)
Full image sqc12644 I41/acd 142 tetragonal {8,12,4} 20 (3,5)
Full image sqc8561 P42/nnm 134 tetragonal {4,8,12} 10 (3,4)
Full image sqc8630 P42/nnm 134 tetragonal {8,4,12} 10 (3,4)

s-nets with edge collapse

No items to display.

Derived U-tilings

2 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC4058 *2224 (3,4,2) {8,12,4} {3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.... Snet sqc8602 Snet sqc12644 Snet sqc8561
Tiling details UQC4059 *2224 (3,4,2) {8,12,4} {3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.... Snet sqc8844 Snet sqc12636 Snet sqc8630

Symmetry-lowered hyperbolic tilings